Statics of Rigid Bodies: Components of a force about a line at an acute angle from the force.

Resolve a 100 KN force into components acting at 20 degree and 40 degree with the force.

There is a similar solved problem posted in this site. Resolving a force into components with respect to inclined directions. See this URL: http://www.mathalino.com/node/1061. It is not the same problem but you can start it from there.
 

Update: Consider the figure shown below:
 

mech_008-components-of-force.gif